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Electrostatics

Hi. I have a question about calculating electric field. In the given image you have two line charges which are not infinite. “a” is a radius, and angle “alfa” is given. How to calcululate electric fied of point (0,0)? Is it the easiest way to do superposition method, or calculating each part of charge separately? I know how to do this for half circle, but the gap between charges is a problem. Thanks for the answers.

Question image for Hi. I have a question about calculating electric f

Nemanja Grubor

11 Years agoGrade

1 Answer

Shivam Chopra

Approved Tutor Answer11 Years ago

Dear Friend,

Here, in the question, the only difference is the gap due to which you are little bit confused from that of a semi circle.

We know that while calculating electric field for the semicircle, we integrate either small field dESinθ from 0 to π or we integrate dECosθ from –π/2 to π/2.

As, there is a gap, so, you need not include that gap as there is no charge. So, here we can either integrate dESinθ from 0 to α & then from π-α to π & then we will add both. Or we can integrate dECosθ from –π/2 to –π/2+α & then from π/2 –α to π/2 & then add them.So, it is just the change in limits.

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